2011100100029 has 2 divisors, whose sum is σ = 2011100100030. Its totient is φ = 2011100100028.

The previous prime is 2011100099927. The next prime is 2011100100127. The reversal of 2011100100029 is 9200010011102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1073291856004 + 937808244025 = 1035998^2 + 968405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011100100029 is a prime.

It is a super-2 number, since 2×2011100100029² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011100100329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550050014 + 1005550050015.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550050015).

Almost surely, 2^{2011100100029} is an apocalyptic number.

It is an amenable number.

2011100100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011100100029 is an equidigital number, since it uses as much as digits as its factorization.

2011100100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 2011100100029 in words is "two trillion, eleven billion, one hundred million, one hundred thousand, twenty-nine".